Finite Group Databasebeta

← C3×#10606322 #14322794

Subgroups — C3×#10606322 #14322794

Order 1920.

1632 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×#685C211yesmaximal, characteristic
2C2×C3×D5×C22⋊C4C211yesmaximal, characteristic
3C2×C3×D5×C22⋊C4C211yesmaximal, characteristic
4C3×C5×#385C211yesmaximal, characteristic, complemented
5C3×#65499C211yesmaximal, characteristic, complemented
6C3×#65278C212yesmaximal, complemented
7C3×#65276C212yesmaximal, complemented
8C3×#65239C211yesmaximal, characteristic, complemented
9C3×#65235C211yesmaximal, characteristic, complemented
10C3×#64957C212yesmaximal, complemented
11C3×#64956C212yesmaximal, complemented
12#10606322C311yesmaximal, characteristic, direct product factor, Hall
13C24×C3×D5C2211yescharacteristic
14C23×C3×C4×C5C2211yescharacteristic
15C23×C3×Dic5C2211yescharacteristic
16C22×C3×C4×D5C2211yescharacteristic
17C22×C3×C4×D5C2211yescharacteristic
18C22×C3×C4×D5C2212yes—
19C2×C3×C5×C4⋊C4C2212yescomplemented
20C2×C3×C5×C22⋊C4C2211yescharacteristic
21C2×C3×C5×C22⋊C4C2211yescharacteristic
22C2×C3×C22⋊Dic5C2211yescharacteristic
23C2×C3×C22⋊Dic5C2211yescharacteristic
24C2×C3×#685—24no—
25C2×C3×#685C2212yes—
26C2×C3×#685C2212yes—
27C2×C3×#685C2211yescharacteristic
28C2×C3×#685C2211yescharacteristic
29C2×C3×#685C2212yes—
30C2×C3×C4⋊Dic5C2212yescomplemented
31C2×C3×#683C2212yescomplemented
32C2×C3×#683C2212yescomplemented
33C3×D5×C22⋊C4—24no—
34C3×D5×C22⋊C4C418yescomplemented
35C3×C5×#95C2212yescomplemented
36C3×#3963C2212yescomplemented
37C3×#3963C2212yescomplemented
38C3×#3963C2212yescomplemented
39C3×#2315—51nomaximal, Hall
40C22×#685C2×C311yescharacteristic
41C2×D5×C22⋊C4C2×C311yescharacteristic
42C2×D5×C22⋊C4C2×C311yescharacteristic
43C5×#385C2×C311yescharacteristic, complemented
44#65499C2×C311yescharacteristic, complemented
45#65278C2×C312yescomplemented
46#65276C2×C312yescomplemented
47#65239C2×C311yescharacteristic, complemented
48#65235C2×C311yescharacteristic, complemented
49#64957C2×C312yescomplemented
50#64956C2×C312yescomplemented
51C24×C3×C5C2311yescharacteristic
52C23×C3×D5—42no—
53C23×C3×D5—42no—
54C23×C3×D5C2×C414yes—
55C23×C3×D5D414yes—
56C23×C3×D5Q814yes—
57C23×C3×D5C2311yescharacteristic
58C23×C3×D5C2311yescharacteristic
59C22×C3×C4×C5—22no—
60C22×C3×C4×C5—42no—
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×C4×C5C2312yes—
63C22×C3×C4×C5C2311yescharacteristic
64C22×C3×C4×C5C2312yes—
65C22×C3×Dic5—22no—
66C22×C3×Dic5—42no—
67C22×C3×Dic5C2311yescharacteristic
68C22×C3×Dic5C2311yescharacteristic
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2312yes—
71C2×C3×C4×D5—22no—
72C2×C3×C4×D5—22no—
73C2×C3×C4×D5—42no—
74C2×C3×C4×D5—42no—
75C2×C3×C4×D5—42no—
76C2×C3×C4×D5—42no—
77C2×C3×C4×D5C2×C418yescomplemented
78C3×C5×C4⋊C4—42no—
79C3×C5×C22⋊C4—22no—
80C3×C5×C22⋊C4C2×C414yescomplemented
81C3×C22⋊Dic5—22no—
82C3×C22⋊Dic5C2×C414yescomplemented
83C3×#685—22no—
84C3×#685—22no—
85C3×#685—24no—
86C3×#685—24no—
87C3×#685C2×C418yescomplemented
88C3×C4⋊Dic5—42no—
89C3×#683—42no—
90C3×#683—42no—
91C22×C3×C22⋊C4—51no—
92C22×C3×C22⋊C4—51no—
93C22×C3×C22⋊C4—51no—
94C3×#385—51no—
95C3×#385—52no—
96C3×#385—51no—
97C3×#385—51no—
98C3×#385—52no—
99C3×#385D511yescharacteristic, complemented
100C3×#380—52no—
101C3×#380—52no—
102C24×D5C22×C311yescharacteristic
103C23×C4×C5C22×C311yescharacteristic
104C23×Dic5C22×C311yescharacteristic
105C22×C4×D5C22×C311yescharacteristic
106C22×C4×D5C22×C311yescharacteristic
107C22×C4×D5C22×C312yes—
108C2×C5×C4⋊C4C22×C312yescomplemented
109C2×C5×C22⋊C4C22×C311yescharacteristic
110C2×C5×C22⋊C4C22×C311yescharacteristic
111C2×C22⋊Dic5C22×C311yescharacteristic
112C2×C22⋊Dic5C22×C311yescharacteristic
113C2×#685—24no—
114C2×#685C22×C311yescharacteristic
115C2×#685C22×C311yescharacteristic
116C2×#685C22×C312yes—
117C2×#685C22×C312yes—
118C2×#685C22×C312yes—
119C2×C4⋊Dic5C22×C312yescomplemented
120C2×#683C22×C312yescomplemented
121C2×#683C22×C312yescomplemented
122D5×C22⋊C4—24no—
123D5×C22⋊C4C3×C418yescomplemented
124C5×#95C22×C312yescomplemented
125#3963C22×C312yescomplemented
126#3963C22×C312yescomplemented
127#3963C22×C312yescomplemented
128#2315—51noSylow
129C23×C3×C5—22no—
130C23×C3×C5—22no—
131C23×C3×C5C22×C412yes—
132C23×C3×C5C2×D412yes—
133C23×C3×C5C2×Q812yes—
134C23×C3×C5C2411yescharacteristic
135C22×C3×D5—22no—
136C22×C3×D5—22no—
137C22×C3×D5—22no—
138C22×C3×D5—22no—
139C22×C3×D5—48no—
140C22×C3×D5—44no—
141C22×C3×D5—44no—
142C22×C3×D5—48no—
143C22×C3×D5C4⋊C4116yescomplemented
144C22×C3×D5C22×C412yes—
145C22×C3×D5C22×C412yes—
146C22×C3×D5C2×D412yes—
147C22×C3×D5C2×D412yes—
148C22×C3×D5C2×Q812yes—
149C22×C3×D5C2×Q812yes—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5—22no—
153C2×C3×C4×C5—21no—
154C2×C3×C4×C5—21no—
155C2×C3×C4×C5—22no—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—22no—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5—44no—
160C2×C3×C4×C5C22×C414yes—
161C2×C3×Dic5—22no—
162C2×C3×Dic5—22no—
163C2×C3×Dic5—22no—
164C2×C3×Dic5—21no—
165C2×C3×Dic5—21no—
166C2×C3×Dic5—22no—
167C2×C3×Dic5—22no—
168C2×C3×Dic5—22no—
169C2×C3×Dic5—22no—
170C2×C3×Dic5—44no—
171C2×C3×Dic5C22×C414yes—
172C3×C4×D5—48no—
173C3×C4×D5—44no—
174C3×C4×D5—44no—
175C25×C3—51no—
176C23×C3×C4—52no—
177C23×C3×C4—51no—
178C23×C3×C4—51no—
179C23×C3×C4—51no—
180C23×C3×C4C2×D511yescharacteristic
181C2×C3×C4⋊C4—52no—
182C2×C3×C4⋊C4—52no—
183C2×C3×C4⋊C4—52no—
184C2×C3×C4⋊C4C2×D512yescomplemented
185C2×C3×C22⋊C4—51no—
186C2×C3×C22⋊C4—52no—
187C2×C3×C22⋊C4—58no—
188C2×C3×C22⋊C4—51no—
189C2×C3×C22⋊C4—51no—
190C2×C3×C22⋊C4—52no—
191C2×C3×C22⋊C4—51no—
192C2×C3×C22⋊C4—52no—
193C2×C3×C22⋊C4—104no—
194C2×C3×C22⋊C4—104no—
195C2×C3×C22⋊C4C2×D511yescharacteristic
196C2×C3×C22⋊C4C2×D511yescharacteristic
197C3×#95—52no—
198C3×#95—52no—
199C3×#95—52no—
200C3×#95C2×D512yescomplemented
201C24×C5C23×C311yescharacteristic
202C23×D5—42no—
203C23×D5—42no—
204C23×D5C2×C3×C414yes—
205C23×D5C3×D414yes—
206C23×D5C3×Q814yes—
207C23×D5C23×C311yescharacteristic
208C23×D5C23×C311yescharacteristic
209C22×C4×C5—22no—
210C22×C4×C5—42no—
211C22×C4×C5C23×C311yescharacteristic
212C22×C4×C5C23×C311yescharacteristic
213C22×C4×C5C23×C312yes—
214C22×C4×C5C23×C312yes—
215C22×Dic5—22no—
216C22×Dic5—42no—
217C22×Dic5C23×C311yescharacteristic
218C22×Dic5C23×C311yescharacteristic
219C22×Dic5C23×C312yes—
220C22×Dic5C23×C312yes—
221C2×C4×D5—22no—
222C2×C4×D5—22no—
223C2×C4×D5—42no—
224C2×C4×D5—42no—
225C2×C4×D5—42no—
226C2×C4×D5—42no—
227C2×C4×D5C2×C3×C418yescomplemented
228C5×C4⋊C4—42no—
229C5×C22⋊C4—22no—
230C5×C22⋊C4C2×C3×C414yescomplemented
231C22⋊Dic5—22no—
232C22⋊Dic5C2×C3×C414yescomplemented
233#685—22no—
234#685—22no—
235#685—24no—
236#685—24no—
237#685C2×C3×C418yescomplemented
238C4⋊Dic5—42no—
239#683—42no—
240#683—42no—
241C22×C22⋊C4—51no—
242C22×C22⋊C4—51no—
243C22×C22⋊C4—51no—
244#385—51no—
245#385—52no—
246#385—51no—
247#385—51no—
248#385—52no—
249#385C3×D511yescharacteristic, complemented
250#380—52no—
251#380—52no—
252C22×C3×C5—24no—
253C22×C3×C5—22no—
254C22×C3×C5—22no—
255C22×C3×C5—24no—
256C22×C3×C5C2×C4⋊C414yes—
257C22×C3×C5C23×C411yescharacteristic
258C22×C3×C5C22×D411yescharacteristic
259C22×C3×C5C22×Q811yescharacteristic
260C22×C3×C5H(5,𝔽2)12yes—
261C22×C3×C5H(5,𝔽2)12yes—
262C2×C3×D5—24no—
263C2×C3×D5—24no—
264C2×C3×D5—22no—
265C2×C3×D5—22no—
266C2×C3×D5—22no—
267C2×C3×D5—22no—
268C2×C3×D5—24no—
269C2×C3×D5—24no—
270C2×C3×D5—416no—
271C2×C3×D5C2×C4⋊C414yes—
272C2×C3×D5C2×C4⋊C414yes—
273C3×C4×C5—24no—
274C3×C4×C5—41no—
275C3×C4×C5—41no—
276C3×C4×C5—42no—
277C3×Dic5—24no—
278C3×Dic5—41no—
279C3×Dic5—41no—
280C3×Dic5—42no—
281C24×C3—51no—
282C24×C3—51no—
283C24×C3—54no—
284C24×C3—54no—
285C24×C3—54no—
286C24×C3—202no—
287C24×C3—202no—
288C24×C3C22×D511yescharacteristic
289C22×C3×C4—22no—
290C22×C3×C4—42no—
291C22×C3×C4—52no—
292C22×C3×C4—58no—
293C22×C3×C4—51no—
294C22×C3×C4—51no—
295C22×C3×C4—52no—
296C22×C3×C4—102no—
297C22×C3×C4—102no—
298C22×C3×C4—102no—
299C22×C3×C4—202no—
300C22×C3×C4—202no—
301C22×C3×C4—202no—
302C22×C3×C4—202no—
303C22×C3×C4—202no—
304C22×C3×C4C22×D511yescharacteristic
305C22×C3×C4C22×D512yes—
306C22×C3×C4C22×D511yescharacteristic
307C22×C3×C4C22×D512yes—
308C3×C4⋊C4—42no—
309C3×C4⋊C4—202no—
310C3×C4⋊C4—202no—
311C3×C4⋊C4—202no—
312C3×C22⋊C4—22no—
313C3×C22⋊C4—54no—
314C3×C22⋊C4—58no—
315C3×C22⋊C4—102no—
316C3×C22⋊C4—102no—
317C3×C22⋊C4—104no—
318C3×C22⋊C4—104no—
319C3×C22⋊C4—102no—
320C3×C22⋊C4C4×D514yescomplemented
321C23×C5—22no—
322C23×C5—22no—
323C23×C5C22×C3×C412yes—
324C23×C5C2×C3×D412yes—
325C23×C5C2×C3×Q812yes—
326C23×C5C24×C311yescharacteristic
327C22×D5—22no—
328C22×D5—22no—
329C22×D5—22no—
330C22×D5—22no—
331C22×D5—48no—
332C22×D5—44no—
333C22×D5—44no—
334C22×D5—48no—
335C22×D5C3×C4⋊C4116yescomplemented
336C22×D5C22×C3×C412yes—
337C22×D5C22×C3×C412yes—
338C22×D5C2×C3×D412yes—
339C22×D5C2×C3×D412yes—
340C22×D5C2×C3×Q812yes—
341C22×D5C2×C3×Q812yes—
342C2×C4×C5—22no—
343C2×C4×C5—22no—
344C2×C4×C5—22no—
345C2×C4×C5—21no—
346C2×C4×C5—21no—
347C2×C4×C5—22no—
348C2×C4×C5—22no—
349C2×C4×C5—22no—
350C2×C4×C5—22no—
351C2×C4×C5—44no—
352C2×C4×C5C22×C3×C414yes—
353C2×Dic5—22no—
354C2×Dic5—22no—
355C2×Dic5—22no—
356C2×Dic5—21no—
357C2×Dic5—21no—
358C2×Dic5—22no—
359C2×Dic5—22no—
360C2×Dic5—22no—
361C2×Dic5—22no—
362C2×Dic5—44no—
363C2×Dic5C22×C3×C414yes—
364C4×D5—48no—
365C4×D5—44no—
366C4×D5—44no—
367C25—51no—
368C23×C4—52no—
369C23×C4—51no—
370C23×C4—51no—
371C23×C4—51no—
372C23×C4C2×C3×D511yescharacteristic
373C2×C4⋊C4—52no—
374C2×C4⋊C4—52no—
375C2×C4⋊C4—52no—
376C2×C4⋊C4C2×C3×D512yescomplemented
377C2×C22⋊C4—51no—
378C2×C22⋊C4—52no—
379C2×C22⋊C4—58no—
380C2×C22⋊C4—51no—
381C2×C22⋊C4—51no—
382C2×C22⋊C4—52no—
383C2×C22⋊C4—51no—
384C2×C22⋊C4—52no—
385C2×C22⋊C4—104no—
386C2×C22⋊C4—104no—
387C2×C22⋊C4C2×C3×D511yescharacteristic
388C2×C22⋊C4C2×C3×D511yescharacteristic
389#95—52no—
390#95—52no—
391#95—52no—
392#95C2×C3×D512yescomplemented
393C2×C3×C5—24no—
394C2×C3×C5C22×C4⋊C411yescharacteristic
395C2×C3×C5#51812yes—
396C2×C3×C5#53411yescharacteristic
397C2×C3×C5#53411yescharacteristic
398C2×C3×C5#54312yes—
399C3×D5—24no—
400C3×D5—24no—
401C23×C3—22no—
402C23×C3—22no—
403C23×C3—52no—
404C23×C3—52no—
405C23×C3—52no—
406C23×C3—52no—
407C23×C3—52no—
408C23×C3—52no—
409C23×C3—516no—
410C23×C3—102no—
411C23×C3—102no—
412C23×C3—102no—
413C23×C3—102no—
414C23×C3—208no—
415C23×C3—204no—
416C23×C3—208no—
417C23×C3—204no—
418C23×C3C2×C4×D512yes—
419C23×C3D4×D512yes—
420C23×C3Q8×D512yes—
421C23×C3C23×D511yescharacteristic
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—22no—
427C2×C3×C4—22no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—44no—
432C2×C3×C4—54no—
433C2×C3×C4—102no—
434C2×C3×C4—102no—
435C2×C3×C4—101no—
436C2×C3×C4—102no—
437C2×C3×C4—101no—
438C2×C3×C4—102no—
439C2×C3×C4—102no—
440C2×C3×C4—102no—
441C2×C3×C4—102no—
442C2×C3×C4—208no—
443C2×C3×C4—204no—
444C2×C3×C4—204no—
445C2×C3×C4—204no—
446C2×C3×C4C2×C4×D514yes—
447C22×C5—24no—
448C22×C5—22no—
449C22×C5—22no—
450C22×C5—24no—
451C22×C5C2×C3×C4⋊C414yes—
452C22×C5C23×C3×C411yescharacteristic
453C22×C5C22×C3×D411yescharacteristic
454C22×C5C22×C3×Q811yescharacteristic
455C22×C5C3×H(5,𝔽2)12yes—
456C22×C5C3×H(5,𝔽2)12yes—
457C2×D5—24no—
458C2×D5—24no—
459C2×D5—22no—
460C2×D5—22no—
461C2×D5—22no—
462C2×D5—22no—
463C2×D5—24no—
464C2×D5—24no—
465C2×D5—416no—
466C2×D5C2×C3×C4⋊C414yes—
467C2×D5C2×C3×C4⋊C414yes—
468C4×C5—24no—
469C4×C5—41no—
470C4×C5—41no—
471C4×C5—42no—
472Dic5—24no—
473Dic5—41no—
474Dic5—41no—
475Dic5—42no—
476C24—51no—
477C24—51no—
478C24—54no—
479C24—54no—
480C24—54no—
481C24—202no—
482C24—202no—
483C24C22×C3×D511yescharacteristic
484C22×C4—22no—
485C22×C4—42no—
486C22×C4—52no—
487C22×C4—58no—
488C22×C4—51no—
489C22×C4—51no—
490C22×C4—52no—
491C22×C4—102no—
492C22×C4—102no—
493C22×C4—102no—
494C22×C4—202no—
495C22×C4—202no—
496C22×C4—202no—
497C22×C4—202no—
498C22×C4—202no—
499C22×C4C22×C3×D511yescharacteristic
500C22×C4C22×C3×D512yes—
501C22×C4C22×C3×D511yescharacteristic
502C22×C4C22×C3×D512yes—
503C4⋊C4—42no—
504C4⋊C4—202no—
505C4⋊C4—202no—
506C4⋊C4—202no—
507C22⋊C4—22no—
508C22⋊C4—54no—
509C22⋊C4—58no—
510C22⋊C4—102no—
511C22⋊C4—102no—
512C22⋊C4—104no—
513C22⋊C4—104no—
514C22⋊C4—102no—
515C22⋊C4C3×C4×D514yescomplemented
516C3×C5#231511yescharacteristic, complemented, Hall
517C22×C3—24no—
518C22×C3—22no—
519C22×C3—24no—
520C22×C3—22no—
521C22×C3—54no—
522C22×C3—54no—
523C22×C3—104no—
524C22×C3—104no—
525C22×C3—102no—
526C22×C3—102no—
527C22×C3—104no—
528C22×C3—104no—
529C22×C3—102no—
530C22×C3—102no—
531C22×C3—2016no—
532C22×C3D5×C4⋊C414yes—
533C22×C3C22×C4×D511yescharacteristic
534C22×C3C2×D4×D511yescharacteristic
535C22×C3#414412yes—
536C22×C3C2×Q8×D511yescharacteristic
537C22×C3#414912yes—
538C3×C4—24no—
539C3×C4—42no—
540C3×C4—41no—
541C3×C4—41no—
542C3×C4—104no—
543C3×C4—201no—
544C3×C4—201no—
545C3×C4—202no—
546C2×C5—24no—
547C2×C5C22×C3×C4⋊C411yescharacteristic
548C2×C5C3×#51812yes—
549C2×C5C3×#53411yescharacteristic
550C2×C5C3×#53411yescharacteristic
551C2×C5C3×#54312yes—
552D5—24no—
553D5—24no—
554C23—22no—
555C23—22no—
556C23—52no—
557C23—52no—
558C23—52no—
559C23—52no—
560C23—52no—
561C23—52no—
562C23—516no—
563C23—102no—
564C23—102no—
565C23—102no—
566C23—102no—
567C23—208no—
568C23—204no—
569C23—208no—
570C23—204no—
571C23C2×C3×C4×D512yes—
572C23C3×D4×D512yes—
573C23C3×Q8×D512yes—
574C23C23×C3×D511yescharacteristic
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—44no—
585C2×C4—54no—
586C2×C4—102no—
587C2×C4—102no—
588C2×C4—101no—
589C2×C4—102no—
590C2×C4—101no—
591C2×C4—102no—
592C2×C4—102no—
593C2×C4—102no—
594C2×C4—102no—
595C2×C4—208no—
596C2×C4—204no—
597C2×C4—204no—
598C2×C4—204no—
599C2×C4C2×C3×C4×D514yes—
600C2×C3—24no—
601C2×C3—104no—
602C2×C3—104no—
603C2×C3C2×D5×C4⋊C411yescharacteristic
604C2×C3#6587912yes—
605C2×C3#6592311yescharacteristic
606C2×C3#6596812yes—
607C2×C3#6598711yescharacteristic
608C5C3×#231511yescharacteristic, complemented, Sylow
609C22—24no—
610C22—22no—
611C22—24no—
612C22—22no—
613C22—54no—
614C22—54no—
615C22—104no—
616C22—104no—
617C22—102no—
618C22—102no—
619C22—104no—
620C22—104no—
621C22—102no—
622C22—102no—
623C22—2016no—
624C22C3×D5×C4⋊C414yes—
625C22C22×C3×C4×D511yescharacteristic
626C22C2×C3×D4×D511yescharacteristic
627C22C3×#414412yes—
628C22C2×C3×Q8×D511yescharacteristic
629C22C3×#414912yes—
630C4—24no—
631C4—42no—
632C4—41no—
633C4—41no—
634C4—104no—
635C4—201no—
636C4—201no—
637C4—202no—
638C3#1060632211yescharacteristic, direct product factor, Sylow
639C2—24no—
640C2—104no—
641C2—104no—
642C2C2×C3×D5×C4⋊C411yescharacteristic
643C2C3×#6587912yes—
644C2C3×#6592311yescharacteristic
645C2C3×#6596812yes—
646C2C3×#6598711yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C5×#385C2
socleC23×C3×C5C24
prime radicalC24×C3×D5C22
cosocleC23×C5C24×C3
hypercenterC3×#385D5
hypocenterC5C3×#2315
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×#385

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
4. C3×C5×#385C2semidirect
5. C3×#65499C2semidirect
6. C3×#65278C2semidirect
7. C3×#65276C2semidirect
8. C3×#65239C2semidirect
9. C3×#65235C2semidirect
10. C3×#64957C2semidirect
11. C3×#64956C2semidirect
12. #10606322C3direct (N × H)
19. C2×C3×C5×C4⋊C4C22semidirect
30. C2×C3×C4⋊Dic5C22semidirect
31. C2×C3×#683C22semidirect
32. C2×C3×#683C22semidirect
34. C3×D5×C22⋊C4C4semidirect
35. C3×C5×#95C22semidirect
36. C3×#3963C22semidirect
37. C3×#3963C22semidirect
38. C3×#3963C22semidirect
43. C5×#385C2×C3semidirect
44. #65499C2×C3semidirect
45. #65278C2×C3semidirect
46. #65276C2×C3semidirect
47. #65239C2×C3semidirect
48. #65235C2×C3semidirect
49. #64957C2×C3semidirect
50. #64956C2×C3semidirect
77. C2×C3×C4×D5C2×C4semidirect
80. C3×C5×C22⋊C4C2×C4semidirect
82. C3×C22⋊Dic5C2×C4semidirect
87. C3×#685C2×C4semidirect
99. C3×#385D5semidirect
108. C2×C5×C4⋊C4C22×C3semidirect
119. C2×C4⋊Dic5C22×C3semidirect
120. C2×#683C22×C3semidirect
121. C2×#683C22×C3semidirect
123. D5×C22⋊C4C3×C4semidirect
124. C5×#95C22×C3semidirect
125. #3963C22×C3semidirect
126. #3963C22×C3semidirect
127. #3963C22×C3semidirect
143. C22×C3×D5C4⋊C4semidirect
184. C2×C3×C4⋊C4C2×D5semidirect
200. C3×#95C2×D5semidirect
227. C2×C4×D5C2×C3×C4semidirect
230. C5×C22⋊C4C2×C3×C4semidirect
232. C22⋊Dic5C2×C3×C4semidirect
237. #685C2×C3×C4semidirect
249. #385C3×D5semidirect
320. C3×C22⋊C4C4×D5semidirect
335. C22×D5C3×C4⋊C4semidirect
376. C2×C4⋊C4C2×C3×D5semidirect
392. #95C2×C3×D5semidirect
515. C22⋊C4C3×C4×D5semidirect
516. C3×C5#2315semidirect
608. C5C3×#2315semidirect
638. C3#10606322direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C22×C3×#6852
C2×C3×D5×C22⋊C42
C3×C5×#3852
C3×#654992
C3×#652782
C3×#652762
C3×#652392
C3×#652352
C3×#649572
C3×#649562
#106063223
C3×#23155